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Simple predator–prey interactions control dynamics in a plankton food web model

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  • Cropp, Roger
  • Norbury, John

Abstract

A plankton food web model is analysed using interaction parameter values appropriate to the upper mixed layer of the high latitude oceans. The dynamics of this four-variable system are analysed in terms of the dynamics of much simpler two-variable predator–prey subsystems. Thus, the food web's robust, periodic, four-dimensional dynamics are explained by means of two-dimensional spirals and limit cycles. These dynamical subsystems are coupled by means of an omnivore that transfers control of the dynamics between the two predator–prey subsystems. The food web may substantially decouple the predator–prey subsystems so that the oscillating phytoplankton/zooplankton blooms exhibit population collapses when bacterial ‘breathers’ briefly dominate after growing dramatically from low background levels. This regular bloom/breather behaviour becomes benignly chaotic when the system is mildly forced by the annual cycle of the sun's irradiance.

Suggested Citation

  • Cropp, Roger & Norbury, John, 2009. "Simple predator–prey interactions control dynamics in a plankton food web model," Ecological Modelling, Elsevier, vol. 220(13), pages 1552-1565.
    • Handle: RePEc:eee:ecomod:v:220:y:2009:i:13:p:1552-1565
    DOI: 10.1016/j.ecolmodel.2009.04.003
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    1. Anje-Margriet Neutel & Johan A. P. Heesterbeek & Johan van de Koppel & Guido Hoenderboom & An Vos & Coen Kaldeway & Frank Berendse & Peter C. de Ruiter, 2007. "Reconciling complexity with stability in naturally assembling food webs," Nature, Nature, vol. 449(7162), pages 599-602, October.
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    Cited by:

    1. Cropp, Roger & Norbury, John, 2010. "Parameterising competing zooplankton for survival in plankton functional type models," Ecological Modelling, Elsevier, vol. 221(16), pages 1852-1864.

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